Question

The original quantity is 10 and the new quantity

is 13. What is the percent change? Is it an
increase or decree?

Answer 1

30 %

Explanation:

Assumption: the increase is to be expressed as a percentage of 10.

We change from 10 to 13 so the increase is 3 We now need to change this into a percentage.

In fraction form we have increase Original value → 3 10 But we need to change this into the form some number 100 Let the unknown value be x giving: 3 10 ≡ some number 100 = x 100 To change the 10 from 3 10 into 100 we multiply by 10 Multiply by 1 and you do not change the value.

However, 1 comes in many forms.

3 10 × 1 = 3 10 × 10 10 = 30 100 This is the same as 30 × 1 100 but 1 100 is the same as %.

So 30 100 → 30 %